Effective Field Theories of Post-Newtonian Gravity: A comprehensive review

Abstract

[Abridged] This review article presents the progress made over the last decade, since the introduction of effective field theories (EFTs) into post-Newtonian (PN) gravity. These have been put forward in the context of gravitational waves (GWs) from the compact binary inspiral. The mature development of this interdisciplinary field has resulted in significant advances of wide interest to physics at several levels serving various purposes. The field has firmly demonstrated, that seemingly disparate physical domains, such as quantum field theory and classical gravity, are related, and that the EFT framework is a universal one, where it has been proven to supply a robust methodology to boost progress in the development of PN theory. The review is aimed at a broad audience, from general readers new to the field, to specialists and experts in related subjects. The review begins with an overview of the introduction of EFTs into classical gravity and their development. Then, the basic ideas, which form the conceptual foundation of EFTs, are provided, and the strategy of a multi-stage EFT framework, which is utilized for the PN binary inspiral problem, is outlined. The main body of the review is then dedicated to presenting in detail the study of each of the effective theories at each of the intermediate scales in the problem, up to the actual GW observables. The review is concluded with the multiple prospects of building on the progress in the field, and using further modern field theory insights and tools, to specifically address the study of GWs, as well as to broadly expand our fundamental understanding of gauge and gravity theories across the classical and quantum regimes.

Invited review; 73 pages, 21 figures; published version, video abstract/trailer on https://youtu.be/ws8WIg_6UUM

References in corpus (56)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• GW170817: Measurements of Neutron Star Radii and Equation of State
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• Properties of the binary neutron star merger GW170817
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Exploring the Sensitivity of Next Generation Gravitational Wave Detectors
• Beyond the Cosmological Standard Model
• New Relations for Gauge-Theory Amplitudes
• From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
• Self-force and radiation reaction in general relativity
• Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory
• High-energy gravitational scattering and the general relativistic two-body problem
• General Relativity from Scattering Amplitudes
• Dynamical Tides in General Relativity: Effective Action and Effective-One-Body Hamiltonian
• Scattering of two spinning black holes in post-Minkowskian gravity, to all orders in spin, and effective-one-body mappings
• The Hyperfine Einstein-Infeld-Hoffmann Potential
• Inelastic Black Hole Scattering from Charged Scalar Amplitudes
• Gravitational spin Hamiltonians from the S matrix
• Scattering on plane waves and the double copy
• Gravitational Radiation from Color-Kinematics Duality
• Effective field theory calculation of second post-Newtonian binary dynamics
• Spinning particles, axion radiation, and the classical double copy
• Energy and periastron advance of compact binaries on circular orbits at the fourth post-Newtonian order
• Next-to-leading order gravitational spin-orbit coupling in an effective field theory approach
• Observing and measuring the neutron-star equation-of-state in spinning binary neutron star systems
• Bound states and the classical double copy
• The dynamics of the gravitational two-body problem at fourth post-Newtonian order and at quadratic order in the Newton constant
• Hamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries
• Leading order finite size effects with spins for inspiralling compact binaries
• Vainshtein Mechanism in Binary Pulsars
• Spin induced multipole moments for the gravitational wave flux from binary inspirals to third Post-Newtonian order
• Equivalence of ADM Hamiltonian and Effective Field Theory approaches at next-to-next-to-leading order spin1-spin2 coupling of binary inspirals
• The Overlap of Numerical Relativity, Perturbation Theory and Post-Newtonian Theory in the Binary Black Hole Problem
• Classical Effective Field Theory and Caged Black Holes
• Les Houches Lectures on Effective Field Theories and Gravitational Radiation
• Observational Signature of the Logarithmic Terms in the Soft Graviton Theorem
• Screw-symmetric gravitational waves: a double copy of the vortex
• Towers of Gravitational Theories
• Dimensional regularization of the IR divergences in the Fokker action of point-particle binaries at the fourth post-Newtonian order
• (Re-)Inventing the Relativistic Wheel: Gravity, Cosets, and Spinning Objects
• Self-force on extreme mass ratio inspirals via curved spacetime effective field theory
• Gravity Waves from Soft Theorem in General Dimensions
• Gravitational radiation from the classical spinning double copy
• Scalar Gravitational Radiation from Binaries: Vainshtein Mechanism in Time-dependent Systems
• The Radiative Double Copy for Einstein-Yang-Mills Theory
• The n-body problem in General Relativity up to the second post-Newtonian order from perturbative field theory
• Asymptotics of d-dimensional Kaluza-Klein black holes: beyond the Newtonian approximation
• Gravitational radiation in d>4 from effective field theory
• Gravitational waves in massive gravity theories: waveforms, fluxes and constraints from extreme-mass-ratio mergers
• The principle of stationary nonconservative action for classical mechanics and field theories
• Gravitational radiation-reaction in arbitrary dimension
• The Delocalized Effective Degrees of Freedom of a Black Hole at Low Frequencies
• General Relativity and Gravitation: A Centennial Perspective
• Radiation reaction at the level of the action
• Classical Effective Field Theory for Weak Ultra Relativistic Scattering
• Surprises from the spins: astrophysics and relativity with detections of spinning black-hole mergers

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• Classical black hole scattering from a worldline quantum field theory
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• On Post-Minkowskian Hamiltonians in General Relativity
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• Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach II: Renormalized Lagrangian
• Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies
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• Tidal Love Numbers of Kerr Black Holes
• Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach I: Regularized Lagrangian
• Gravitational Bremsstrahlung in the Post-Minkowskian Effective Field Theory
• SUSY in the Sky with Gravitons
• Carroll Expansion of General Relativity
• Hamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries
• Interpreting Binary Neutron Star Mergers: Describing the Binary Neutron Star Dynamics, Modelling Gravitational Waveforms, and Analyzing Detections
• Eikonal phase matrix, deflection angle and time delay in effective field theories of gravity
• One-loop Gravitational Bremsstrahlung and Waveforms from a Heavy-Mass Effective Field Theory
• Leading Nonlinear Tidal Effects and Scattering Amplitudes
• Quadratic-in-Spin Hamiltonian at $\mathcal{O}(G^2)$ from Scattering Amplitudes
• Five-Loop Static Contribution to the Gravitational Interaction Potential of Two Point Masses
• Compton Black-Hole Scattering for $s\le 5/2$
• Classical potential for general spinning bodies
• Conservative and radiative dynamics of spinning bodies at third post-Minkowskian order using worldline quantum field theory
• The Science of the Einstein Telescope
• A worldsheet for Kerr
• The Sub-Leading Scattering Waveform from Amplitudes
• The fifth-order post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach: potential contributions
• Fourth post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach
• The Weyl Double Copy for Gravitational Waves
• Enhancing the SEOBNRv5 effective-one-body waveform model with second-order gravitational self-force fluxes
• Love symmetry
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• Emergence of Calabi-Yau manifolds in high-precision black hole scattering
• Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
• Resummed spinning waveforms from five-point amplitudes
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• N${}^3$LO gravitational spin-orbit coupling at order $G^4$
• Hereditary Terms at Next-To-Leading Order in Two-Body Gravitational Dynamics
• Test black holes, scattering amplitudes and perturbations of Kerr spacetime
• Gravitational spin-orbit and aligned spin${}_1$-spin${}_2$ couplings through third-subleading post-Newtonian orders
• NNNLO gravitational quadratic-in-spin interactions at the quartic order in G
• On the Double Copy for Spinning Matter
• Kerr-Newman from Minimal Coupling
• Image features of spinning regular black holes based on a locality principle
• The 6th Post-Newtonian Potential Terms at $O(G_N^4)$
• Classical Double Copy of Worldline Quantum Field Theory
• The SXS Collaboration's third catalog of binary black hole simulations
• Gravitational Bremsstrahlung with tidal effects in the post-Minkowskian expansion
• Tidal response from scattering and the role of analytic continuation
• NLO gravitational quartic-in-spin interaction
• Effective field theory for gravitational radiation in scalar-tensor gravity
• Scalar Love numbers and Love symmetries of 5-dimensional Myers-Perry black holes
• Gravitational Spin-Orbit Hamiltonian at NNNLO in the post-Newtonian framework
• Second post-Newtonian order radiative dynamics of inspiralling compact binaries in the Effective Field Theory approach
• Scattering of gravitational waves off spinning compact objects with an effective worldline theory
• Completing the Fifth PN Precision Frontier via the EFT of Spinning Gravitating Objects
• A Causal Framework for Non-Linear Quantum Mechanics
• Scattering Amplitudes and the Double Copy in Topologically Massive Theories
• Calabi-Yau meets Gravity: A Calabi-Yau three-fold at fifth post-Minkowskian order
• N${}^3$LO Quadratic-in-Spin Interactions for Generic Compact Binaries
• Worldline effective field theory of inspiralling black hole binaries in presence of dark photon and axionic dark matter
• N${}^3$LO Spin-Orbit Interaction via the EFT of Spinning Gravitating Objects
• Asymptotic dynamics on the worldline for spinning particles
• Gravitational Quadratic-in-Spin Hamiltonian at NNNLO in the post-Newtonian framework
• Gravitational-wave tails of memory
• Relativistic effective action of dynamical gravitomagnetic tides for slowly rotating neutron stars
• Quadratic-in-spin interactions at fifth post-Newtonian order probe new physics
• Post-Minkowskian Theory Meets the Spinning Effective-One-Body Approach for Two-Body Scattering
• Ladder Symmetries and Love Numbers of Reissner--Nordström Black Holes
• Renormalizing Love: tidal effects at the third post-Newtonian order
• Exploring waveforms with non-GR deviations for extreme mass-ratio inspirals
• The single copy of the gravitational holonomy
• Investigating tidal heating in neutron stars via gravitational Raman scattering
• Post-Newtonian Waveforms from Spinning Scattering Amplitudes
• Prospects of detecting deviations to Kerr geometry with radiation reaction effects in EMRIs
• Spin-orbit effects for compact binaries in scalar-tensor gravity
• Gravitational waveforms from the quasicircular inspiral of compact binaries in massive Brans-Dicke theory
• Near and far zone in two-body dynamics: an effective field theory perspective
• Graviton corrections to the Newtonian potential using invariant observables
• Scattering of Gravitons and Spinning Massive States from Compact Numerators
• Searching for General Binary Inspirals with Gravitational Waves
• Classical and quantum gravitational scattering with Generalized Wilson Lines
• Observables from classical black hole scattering in Scalar-Tensor theory of gravity from worldline quantum field theory
• Holographic solar systems and hydrogen atoms: non-relativistic physics in AdS and its CFT dual
• Perturbations of the Vaidya metric in the frequency domain: Quasi-normal modes and tidal response
• Vanishing of Quadratic Love Numbers of Schwarzschild Black Holes
• Effective two-body approach to the hierarchical three-body problem
• Gravitoelectric dynamical tides at second post-Newtonian order
• Large Gauge Effects and the Structure of Amplitudes
• Classifying post-Minkowskian geometries for gravitational waves via loop-by-loop Baikov
• From the EFT of Spinning Gravitating Objects to Poincaré and Gauge Invariance at the 4.5PN Precision Frontier
• Post-Newtonian templates for gravitational waves from compact binary inspirals
• A tale of tails through generalized unitarity
• Classical string solutions in Non-Relativistic AdS${}_5\times$S${}^5$: Closed and Twisted sectors
• Particle motion under the conservative piece of the self-force is Hamiltonian
• The H-graph with equal masses in terms of multiple polylogarithms
• NonMarkovian Abraham--Lorentz--Dirac Equation: Radiation Reaction without Pathology
• Next-to-leading order spin-orbit effects in the equations of motion, energy loss and phase evolution of binaries of compact bodies in the effective field theory approach
• Gravitational waves from neutron-star mountains
• Fundamental Tone and Overtones of Quasinormal Modes in Ringdown Gravitational Waves: A Detailed Study in Black Hole Perturbation
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• An Effective Field Theory for Binary Cosmic Strings
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• Scalaron Decay in Perturbative Quantum Gravity
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• A public framework for Feynman calculations and post-Newtonian gravity
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• Exploring gravitational impulse via quantum Boltzmann equation
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• Field theory for gravity at all scales
• Secular evolution of orbital parameters for general bound orbits in Kerr spacetime
• Gravitational Wave Signals from Finite Size Effects in Spinning Binary Inspirals Including Parity Violating Constituents
• Influence Through Mixing: Hotspots as Benchmarks for Basic Black-Hole Behaviour
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• Energetics and scattering of gravitational two-body systems at fourth post-Minkowskian order
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• Hamiltonian normal forms for the post-Newtonian binary problem